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Various structured argumentation frameworks utilize preferences as part of their standard inference procedure to enable reasoning with preferences. In this paper, we consider an inverse of the standard reasoning problem, seeking to identify…

Artificial Intelligence · Computer Science 2020-05-13 Quratul-ain Mahesar , Nir Oren , Wamberto W. Vasconcelos

We investigate winner determination for two popular proportional representation systems: the Monroe and Chamberlin-Courant (abbrv. CC) systems. Our study focuses on (nearly) single-peaked resp. single-crossing preferences. We show that for…

Multiagent Systems · Computer Science 2023-08-01 Jiehua Chen , Christian Hatschka , Sofia Simola

Researchers currently use a number of approaches to predict and substantiate information-computation gaps in high-dimensional statistical estimation problems. A prominent approach is to characterize the limits of restricted models of…

Computational Complexity · Computer Science 2021-06-29 Matthew Brennan , Guy Bresler , Samuel B. Hopkins , Jerry Li , Tselil Schramm

We consider the challenge of preference elicitation in systems that help users discover the most desirable item(s) within a given database. Past work on preference elicitation focused on structured models that provide a factored…

Artificial Intelligence · Computer Science 2012-07-19 Ronen I. Brafman , Carmel Domshlak , Tanya Kogan

This is a survey on the use of low-degree polynomials to predict and explain the apparent statistical-computational tradeoffs in a variety of average-case computational problems. In a nutshell, this framework measures the complexity of a…

Statistics Theory · Mathematics 2025-06-13 Alexander S. Wein

Ranking is one of the most fundamental problems in machine learning with applications in many branches of computer science such as: information retrieval systems, recommendation systems, machine translation and computational biology.…

Data Structures and Algorithms · Computer Science 2015-04-07 Krzysztof Choromanski

Borgs et al. [2016] investigated essential requirements for communities in preference networks. They defined six axioms on community functions, i.e., community detection rules. Though having elegant properties, the practicality of this…

Social and Information Networks · Computer Science 2016-12-16 Gang Zeng , Yuyi Wang , Juhua Pu , Xingwu Liu , Xiaoming Sun , Jialin Zhang

Single-peaked preferences and domains are extensively researched in social science and economics. In this study, we examine the interval property as well as combinatorial structure of single-peaked preferences on a fixed Left-Right social…

Combinatorics · Mathematics 2022-02-24 Ping Zhan

It is important to study how strategic agents can affect the outcome of an election. There has been a long line of research in the computational study of elections on the complexity of manipulative actions such as manipulation and bribery.…

Computer Science and Game Theory · Computer Science 2023-07-24 Zack Fitzsimmons , Edith Hemaspaandra

The generally accepted wisdom in computational circles is that pure proof verification is a solved problem and that the computationally hard elements and fertile areas of study lie in proof discovery. This wisdom presumably does hold for…

Logic in Computer Science · Computer Science 2017-03-28 Naveen Sundar Govindarajulu , Selmer Bringsjord

We establish that all strategy-proof social choice rules in strict preference domains follow necessarily a two-step procedure. In the first step, agents are asked to reveal some specific information about their preferences. Afterwards, a…

Theoretical Economics · Economics 2023-04-26 Jorge Alcalde-Unzu , Marc Vorsatz

The problem of ensuring constraints satisfaction on the output of machine learning models is critical for many applications, especially in safety-critical domains. Modern approaches rely on penalty-based methods at training time, which do…

Machine Learning · Computer Science 2025-04-14 Gaetano Signorelli , Michele Lombardi

We propose and develop an algebraic approach to revealed preference. Our approach dispenses with non algebraic structure, such as topological assumptions. We provide algebraic axioms of revealed preference that subsume previous, classical…

Theoretical Economics · Economics 2021-06-01 Mikhail Freer , Cesar Martinelli

Actual individual preferences are neither complete (=total) nor antisymmetric in general, so that at least every quasi-order must be an admissible input to a satisfactory choice rule. It is argued that the traditional notion of…

Combinatorics · Mathematics 2007-05-23 Jobst Heitzig

In this paper, we study a generic direct-search algorithm in which the polling directions are defined using random subspaces. Complexity guarantees for such an approach are derived thanks to probabilistic properties related to both the…

Optimization and Control · Mathematics 2023-01-18 Lindon Roberts , Clément W. Royer

Information about user preferences plays a key role in automated decision making. In many domains it is desirable to assess such preferences in a qualitative rather than quantitative way. In this paper, we propose a qualitative graphical…

Artificial Intelligence · Computer Science 2011-07-04 C. Boutilier , R. I. Brafman , C. Domshlak , H. H. Hoos , D. Poole

We derive computationally tractable methods to select a small subset of experiment settings from a large pool of given design points. The primary focus is on linear regression models, while the technique extends to generalized linear models…

Machine Learning · Statistics 2017-12-21 Yining Wang , Adams Wei Yu , Aarti Singh

When trying to solve a computational problem, we are often faced with a choice between algorithms that are guaranteed to return the right answer but differ in their runtime distributions (e.g., SAT solvers, sorting algorithms). This paper…

Artificial Intelligence · Computer Science 2023-06-06 Devon R. Graham , Kevin Leyton-Brown , Tim Roughgarden

A central push in operations models over the last decade has been the incorporation of models of customer choice. Real world implementations of many of these models face the formidable stumbling block of simply identifying the `right' model…

Applications · Statistics 2011-06-23 Vivek F. Farias , Srikanth Jagabathula , Devavrat Shah

The classical paradox of social choice theory asserts that there is no fair way to deterministically select a winner in an election among more than two candidates; the only definite collective preferences are between individual pairs of…

Combinatorics · Mathematics 2012-11-05 Jennifer Iglesias , Nathaniel Ince , Po-Shen Loh